Stability analysis study for the time-fractional Galilei invariant advection-diffusion model of distributive order using an efficient hybrid approach

被引：0

作者：

Cai, Ruiqi ^{[1
]}

Kosari, Saeed ^{[1
]}

Shafi, Jana ^{[2
]}

Derakhshan, Mohammad Hossein ^{[3
]}

机构：

[1] Institute of Computational Science and Technology, Guangzhou University, Guangdong, Guangzhou,510006, China

[2] Department of Computer Engineering and Information, College of Engineering in Wadi Alddawasir, Prince Sattam Bin Abdulaziz University, Wadi Alddawasir,11991, Saudi Arabia

[3] Department of Industrial Engineering, Apadana Institute of Higher Education, Shiraz, Iran

来源：

Physica Scripta | 2024年 / 99卷 / 12期

关键词：

Advection - Discrete element methods - Gaussian distribution - Numerical methods - Stability;

D O I：

10.1088/1402-4896/ad8d46

中图分类号：

学科分类号：

摘要：

In this manuscript, a new model of the time-fractional Galilei-invariant advection-diffusion model of distributed order is studied. An efficient hybrid numerical approach with high accuracy is used to estimate this equation. The finite difference numerical method is used to approximate the fractional operator in terms of the time variable and to approximate the integral term of distributed order, the Gaussian-Legendre integration is applied. To obtain a fully discrete numerical approach, we used a spectral element numerical approach, in which Legendre polynomials are used as the basis function. For the proposed numerical approach, the error and stability analysis are studied. For the efficiency of the numerical approach, some numerical examples are presented with graphs and tables. © 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.

引用

共 49 条

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[30] Hybrid Approach for the Time-Dependent Fractional Advection–Diffusion Equation Using Conformable Derivatives
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